diff --git a/pep-0551.rst b/pep-0551.rst
index 7a42cd82a..b40a3f344 100644
--- a/pep-0551.rst
+++ b/pep-0551.rst
@@ -196,8 +196,9 @@ such as ``ctypes``.
 The new C APIs required for audit hooks are::
 
    # Add an auditing hook
-   typedef int (*hook_func)(const char *event, PyObject *args);
-   int PySys_AddAuditHook(hook_func hook);
+   typedef int (*hook_func)(const char *event, PyObject *args,
+                            void *userData);
+   int PySys_AddAuditHook(hook_func hook, void *userData);
 
    # Raise an event with all auditing hooks
    int PySys_Audit(const char *event, PyObject *args);
@@ -433,12 +434,6 @@ should be considered part of the rationale for including the hook.
    ``_PyEval_SetCoroutineWrapper``, ``sys.set_coroutine_wrapper``, "
    ", "Detect changes to the coroutine wrapper.
    "
-   ``Py_SetRecursionLimit``, ``sys.setrecursionlimit``, "
-   ``(new_limit,)``", "Detect changes to the recursion limit.
-   "
-   ``_PyEval_SetSwitchInterval``, ``sys.setswitchinterval``, "
-   ``(interval_us,)``", "Detect changes to the switching interval.
-   "
    "``socket.bind``, ``socket.connect``, ``socket.connect_ex``,
    ``socket.getaddrinfo``, ``socket.getnameinfo``, ``socket.sendmsg``,
    ``socket.sendto``", ``socket.address``, "``(address,)``", "Detect